Answer:
(3x+2)(x+2)
Explanation:
1 Split the second term in 3{x}^{2}+8x+43x
2
+8x+4 into two terms.
3{x}^{2}+6x+2x+43x
2
+6x+2x+4
2 Factor out common terms in the first two terms, then in the last two terms.
3x(x+2)+2(x+2)3x(x+2)+2(x+2)
3 Factor out the common term x+2x+2.